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Finding the Fourth Proportional to 6,544.24, 9,813 and 3,912.40

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Solution

The fourth proportional to 6,544.24, 9,813 and 3,912.40 is: 5,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.24 : 9,813 = 3,912.40 : x
  2. Step 2: Convert to fraction form
    6,544.24/9,813 = 3,912.40/x
  3. Step 3: Cross multiply
    6,544.24x = 9,813 × 3,912.40
  4. Step 4: Simplify right side
    6,544.24x = 38,392,381.20
  5. Step 5: Solve for x
    x = 38,392,381.20/6,544.24
  6. Step 6: Final answer
    x = 5,866.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.